9115407144 has 128 divisors (see below), whose sum is σ = 25806384000. Its totient is φ = 2980454400.

The previous prime is 9115407101. The next prime is 9115407163. The reversal of 9115407144 is 4417045119.

9115407144 is a `hidden beast` number, since 9 + 1 + 1 + 540 + 71 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9115407099 and 9115407108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6468712 + ... + 6470120.

It is an arithmetic number, because the mean of its divisors is an integer number (201612375).

Almost surely, 2^9115407144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9115407144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903192000).

9115407144 is an abundant number, since it is smaller than the sum of its proper divisors (16690976856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9115407144 is a wasteful number, since it uses less digits than its factorization.

9115407144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 9115407144 is about 95474.6413661764. The cubic root of 9115407144 is about 2088.9370711326.

The spelling of 9115407144 in words is "nine billion, one hundred fifteen million, four hundred seven thousand, one hundred forty-four".